Florida Item Bank Mathematics Blueprint Questions Focus on Standards
Focus on Standards The Focus on Standards (FOS ) Florida Item Bank contains Mathematics, Reading and Writing items for Grades 3 that were built for or aligned to individual state standards. The items can be used to create formative assessments or interim/benchmark assessments to monitor and track student progress towards mastering state standards. The items can also be used for ongoing assessment in the classroom. Based upon a review of the Sunshine State Standards and the Florida Comprehensive Assessment Test (FCAT), ETS created blueprints that guided item development for the item bank. The Florida Blueprints for Mathematics, Reading and Writing include the standards that students are held accountable for mastering on the FCAT. All items are subjected to several rounds of content and editorial reviews to adhere to industry standards of quality and match specific state standards. The set of items for each standard is also reviewed for appropriate depth and breadth of coverage. As item development is ongoing for the FOS Florida Item Bank, these blueprints are subject to change. Final blueprints will be available to educators who license the item bank for use in building their local assessments.
FL Item Bank Mathematics Blueprint 2007 Grade 3 Florida Mathematics Blueprint Strand: Sense, Concepts and Operations (state assessment measures this strand with items) A.1.2.2 Understands the relative size of whole numbers, commonly used fractions, decimals and percents. 0 A.1.2.4 A.2.2.1 A.3.2.1 A.3.2.2 A.3.2.3 Understands that numbers can be represented in a variety of equivalent forms using whole numbers, decimals, fractions and percents. (Also assesses A.1.2.1 and A.1.2.3) Uses place-value concepts of grouping based on powers of ten (thousandths, hundredths, tenths, ones, tens, hundreds, thousands) within the decimal number system. Understands and explains the effects of addition, subtraction and multiplication on whole numbers, decimals and fractions, including mixed numbers and the effects of division on whole numbers, including the inverse relationship of multiplication and division. Selects the appropriate operation to solve specific problems involving addition, subtraction and multiplication of whole numbers, decimals and fractions and division of whole numbers. Adds, subtracts and multiplies whole numbers, decimals and fractions, including mixed numbers and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil and calculator. A.4.2.1 A.5.2.1 Uses and justifies different estimation strategies in a real-world problem situation and determines the reasonableness of results of calculations in a given problem situation. (Also assesses B.3.2.1) Understands and applies basic number theory concepts, including primes, composites, factors and multiples. Strand: Measurement (state assessment measures this strand with items) 4 B.1.2.2 Solves real-world problems involving length, weight, perimeter, area, capacity, volume, time, temperature and angles. B.2.2.1 B.2.2.2 B.4.2.2 Uses direct (measured) and indirect (not measured) measures to calculate and compare measurable characteristics. Selects and uses appropriate standard and nonstandard units of measurement, according to type and size. (Also assesses B.4.2.1) Selects and uses appropriate instruments and technology, including scales, rulers, thermometers, measuring cups, protractors and gauges, to measure in real-world situations.
Focus on Standards 2007 Grade 3 Florida Mathematics Blueprint continued Strand: Geometry and Spatial Sense (state assessment measures this strand with 7 items) 4 C.1.2.1 C.2.2.1 C.2.2.2 C.3.2.1 Given a verbal description, draws and/or models two- and three-dimensional shapes and uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures. Understands the concepts of spatial relationships, symmetry, reflections, congruency and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1 and C.3.2.1) Predicts, illustrates and verifies which figures could result from a flip (reflection), slide (translation) or turn (rotation) of a given figure. Represents and applies a variety of strategies and geometric properties and formulas for twoand three-dimensional shapes to solve real-world and mathematical problems. (Also assesses C.2.2.1 and C.3.2.2) C.3.2.2 Identifies and plots positive ordered pairs (whole numbers) in a rectangular coordinate system (graph). Strand: Algebraic Thinking (state assessment measures this strand with 6 items) 36 D.1.2.1 D.2.2.1 D.2.2.2 Describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols. (Also assesses D.1.2.2) Represents a given simple problem situation using diagrams, models and symbolic expressions translated from verbal phrases or verbal phrases translated from symbolic expressions, etc. (Also assesses D.2.2.2) Uses informal methods, such as physical models and graphs, to solve real-world problems involving equations and inequalities. (Also assesses D.2.2.1) Strand: Data Analysis and Probability (state assessment measures this strand with 7 items) 44 E.1.2.1 Solves problems by generating, collecting, organizing, displaying and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs and charts. (Also assesses E.1.2.3) E.1.2.2 Determines range, mean, median and mode from sets of data. (Also assesses E.1.2.3) E.2.2.1 Uses models, such as tree diagrams, to display possible outcomes and to predict events. E.2.2.2 Predicts the likelihood of simple events occurring. TOTAL NUMBER OF ITEMS 256
FL Item Bank Mathematics Blueprint 2007 Grade 4 Florida Mathematics Blueprint Strand: Sense, Concepts and Operations (state assessment measures this strand with 10 items) 72 A.1.2.2 A.1.2.4 A.2.2.1 A.3.2.1 A.3.2.2 A.3.2.3 A.4.2.1 Understands the relative size of whole numbers, commonly used fractions, decimals and percents. Understands that numbers can be represented in a variety of equivalent forms using whole numbers, decimals, fractions and percents. (Also assesses A.1.2.1 and A.1.2.3) Uses place-value concepts of grouping based on powers of ten (thousandths, hundredths, tenths, ones, tens, hundreds, thousands) within the decimal number system. Understands and explains the effects of addition, subtraction and multiplication on whole numbers, decimals and fractions, including mixed numbers and the effects of division on whole numbers, including the inverse relationship of multiplication and division. Selects the appropriate operation to solve specific problems involving addition, subtraction and multiplication of whole numbers, decimals and fractions and division of whole numbers. Adds, subtracts and multiplies whole numbers, decimals and fractions, including mixed numbers and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil and calculator. Uses and justifies different estimation strategies in a real-world problem situation and determines the reasonableness of results of calculations in a given problem situation. (Also assesses B.3.2.1) A.5.2.1 Understands and applies basic number theory concepts, including primes, composites, factors and multiples. Strand: Measurement (state assessment measures this strand with items) 4 B.1.2.2 Solves real-world problems involving length, weight, perimeter, area, capacity, volume, time, temperature and angles. B.2.2.1 B.2.2.2 B.4.2.2 Uses direct (measured) and indirect (not measured) measures to calculate and compare measurable characteristics. Selects and uses appropriate standard and nonstandard units of measurement, according to type and size. (Also assesses B.4.2.1) Selects and uses appropriate instruments and technology, including scales, rulers, thermometers, measuring cups, protractors and gauges, to measure in real-world situations.
Focus on Standards 2007 Grade 4 Florida Mathematics Blueprint continued Strand: Geometry and Spatial Sense (state assessment measures this strand with 7 items) 4 C.1.2.1 C.2.2.1 C.2.2.2 C.3.2.1 C.3.2.2 Given a verbal description, draws and/or models two- and three-dimensional shapes and uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures. Understands the concepts of spatial relationships, symmetry, reflections, congruency and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1 and C.3.2.1) Predicts, illustrates and verifies which figures could result from a flip (reflection), slide (translation) or turn (rotation) of a given figure. Represents and applies a variety of strategies and geometric properties and formulas for two- and three-dimensional shapes to solve real-world and mathematical problems. (Also assesses C.2.2.1 and C.3.2.2) Identifies and plots positive ordered pairs (whole numbers) in a rectangular coordinate system (graph). Strand: Algebraic Thinking (state assessment measures this strand with 7 items) 40 D.1.2.1 D.2.2.1 Describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols. (Also assesses D.1.2.2) Represents a given simple problem situation using diagrams, models and symbolic expressions translated from verbal phrases or verbal phrases translated from symbolic expressions, etc. (Also assesses D.2.2.2) D.2.2.2 Uses informal methods, such as physical models and graphs, to solve real-world problems involving equations and inequalities. (Also assesses D.2.2.1) Strand: Data Analysis and Probability (state assessment measures this strand with 7 items) 44 E.1.2.1 Solves problems by generating, collecting, organizing, displaying and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs and charts. (Also assesses E.1.2.3) E.1.2.2 Determines range, mean, median and mode from sets of data. (Also assesses E.1.2.3) E.2.2.1 Uses models, such as tree diagrams, to display possible outcomes and to predict events. E.2.2.2 Predicts the likelihood of simple events occurring. TOTAL NUMBER OF ITEMS 252
FL Item Bank Mathematics Blueprint 2007 Grade 5 Florida Mathematics Blueprint Strand: Sense, Concepts and Operations (state assessment measures this strand with 13 items) 4 A.1.2.2 A.1.2.4 A.2.2.1 A.3.2.1 Understands the relative size of whole numbers, commonly used fractions, decimals and percents. Understands that numbers can be represented in a variety of equivalent forms using whole numbers, decimals, fractions and percents. (Also assesses A.1.2.1 and A.1.2.3) Uses place-value concepts of grouping based on powers of ten (thousandths, hundredths, tenths, ones, tens, hundreds, thousands) within the decimal number system. Understands and explains the effects of addition, subtraction and multiplication on whole numbers, decimals and fractions, including mixed numbers and the effects of division on whole numbers, including the inverse relationship of multiplication and division. A.3.2.2 A.3.2.3 A.4.2.1 A.5.2.1 Selects the appropriate operation to solve specific problems involving addition, subtraction and multiplication of whole numbers, decimals and fractions and division of whole numbers. Adds, subtracts and multiplies whole numbers, decimals and fractions, including mixed numbers and divides whole numbers to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil and calculator. Uses and justifies different estimation strategies in a real-world problem situation and determines the reasonableness of results of calculations in a given problem situation. (Also assesses B.3.2.1) Understands and applies basic number theory concepts, including primes, composites, factors and multiples. Strand: Measurement (state assessment measures this strand with 11 items) 56 B.1.2.2 B.2.2.1 B.2.2.2 Solves real-world problems involving length, weight, perimeter, area, capacity, volume, time, temperature and angles. Uses direct (measured) and indirect (not measured) measures to calculate and compare measurable characteristics. Selects and uses appropriate standard and nonstandard units of measurement, according to type and size. (Also assesses B.4.2.1) Strand: Geometry and Spatial Sense (state assessment measures this strand with 13 items) 72 C.1.2.1 Given a verbal description, draws and/or models two- and three-dimensional shapes and uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures. 2
Focus on Standards 2007 Grade 5 Florida Mathematics Blueprint continued C.2.2.1 C.2.2.2 C.3.2.1 C.3.2.2 Understands the concepts of spatial relationships, symmetry, reflections, congruency and similarity. (Also assesses B.1.2.1, B.1.2.2, C.1.2.1 and C.3.2.1) Predicts, illustrates and verifies which figures could result from a flip (reflection), slide (translation) or turn (rotation) of a given figure. Represents and applies a variety of strategies and geometric properties and formulas for twoand three-dimensional shapes to solve real-world and mathematical problems. (Also assesses C.2.2.1 and C.3.2.2) Identifies and plots positive ordered pairs (whole numbers) in a rectangular coordinate system (graph). 24 Strand: Algebraic Thinking (state assessment measures this strand with 11 items) 4 D.1.2.1 D.2.2.1 Describes a wide variety of patterns and relationships through models, such as manipulatives, tables, graphs, rules using algebraic symbols. Represents a given simple problem situation using diagrams, models and symbolic expressions translated from verbal phrases or verbal phrases translated from symbolic expressions, etc. (Also assesses D.2.2.2) D.2.2.2 Uses informal methods, such as physical models and graphs, to solve real-world problems involving equations and inequalities. (Also assesses D.2.2.1) Strand: Data Analysis and Probability (state assessment measures this strand with items) 6 E.1.2.1 Solves problems by generating, collecting, organizing, displaying and analyzing data using histograms, bar graphs, circle graphs, line graphs, pictographs and charts. (Also assesses E.1.2.3) E.1.2.2 Determines range, mean, median and mode from sets of data. (Also assesses E.1.2.3) E.2.2.1 Uses models, such as tree diagrams, to display possible outcomes and to predict events. E.2.2.2 Predicts the likelihood of simple events occurring. 20 2 E.3.2.1 Designs experiments to answer class or personal questions, collects information and interprets the results using statistics (range, mean, median and mode) and pictographs, charts, bar graphs, circle graphs and line graphs. (Also assesses E.3.2.2) TOTAL NUMBER OF ITEMS 32
FL Item Bank Mathematics Blueprint 2007 Grade 6 Florida Mathematics Blueprint Strand: Sense, Concepts and Operations (state assessment measures this strand with 9 items) 64 A.1.3.2 A.1.3.4 Understands the relative size of integers, fractions and decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. Understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals and absolute value. (Also assesses A.1.3.1 and A.1.3.3) A.2.3.1 Understands and uses exponential and scientific notation. A.3.3.1 A.3.3.2 A.3.3.3 Understands and explains the effects of addition, subtraction, multiplication and division on whole numbers, fractions, including mixed numbers and decimals, including the inverse relationship of positive and negative numbers. Selects the appropriate operation to solve problems involving addition, subtraction, multiplication and division of rational numbers, ratios, proportions and percents, including the appropriate application of the algebraic order of operations. Adds, subtracts, multiplies and divides whole numbers, decimals and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil and calculator. A.4.3.1 Uses estimation strategies to predict results and to check the reasonableness of results. (Also assesses A.4.2.1, B.2.3.1 and B.3.3.1) Strand: Measurement (state assessment measures this strand with 9 items) 52 B.1.3.1 B.1.3.3 B.1.3.4 B.2.3.2 Uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference and volume of two- and three-dimensional shapes, including rectangular solids and cylinders. (Also assesses B.1.2.2 and B.2.3.1) Understands and describes how the change of a figure in such dimensions as length, width, height or radius affects its other measurements such as perimeter, area, surface area or volume. (Also assesses C.2.3.1) Constructs, interprets and uses scale drawings such as those based on number lines and maps to solve real-world problems. Solves problems involving units of measure and converts answers to larger or smaller unit within either the metric or customary system.
Focus on Standards 2007 Grade 6 Florida Mathematics Blueprint continued Strand: Geometry and Spatial Sense (state assessment measures this strand with 9 items) 52 C.1.3.1 C.2.3.1 C.3.3.1 C.3.3.2 Understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two and three dimensions. (Also assesses C.1.2.1) Understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism and transformations, including flips (reflections), slides (translations), turns (rotations) and enlargements. (Also assesses B.1.3.3, C.1.2.1, C.1.3.1 and C.3.3.1) Represents and applies geometric properties and relationships to solve real-world and mathematical problems. (Also assesses C.2.3.1, C.2.3.2 and C.3.2.2) Identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines. Strand: Algebraic Thinking (state assessment measures this strand with items) 4 D.1.3.1 Describes a wide variety of patterns, relationships and functions through models, such as manipulatives, tables, graphs, expressions, equations and inequalities. (Also assesses A.5.3.1) D.1.3.2 Creates and interprets tables, graphs, equations and verbal descriptions to explain causeand-effect relationships. (Also assesses A.5.3.1) D.2.3.1 D.2.3.2 Represents and solves real-world problems graphically, with algebraic expressions, equations and inequalities. (Also assesses A.1.3.3) Uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities. Strand: Data Analysis and Probability (state assessment measures this strand with 9 items) 56 E.1.3.1 E.1.3.2 Collects, organizes and displays data in a variety of forms, including tables, line graphs, charts, bar graphs, to determine how different ways of presenting data can lead to different interpretations. (Also assesses E.1.3.3) Understands and applies the concepts of range and central tendency (mean, median and mode). (Also assesses E.1.3.3) E.2.3.1 Compares experimental results with mathematical expectations of probabilities. E.2.3.2 Determines odds for and odds against a given situation. (Also assesses E.2.2.2) E.3.3.1 Formulates hypotheses, designs experiments, collects and interprets data and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median and mode) and tables, graphs and charts. (Also assesses E.3.3.2) TOTAL NUMBER OF ITEMS 272
FL Item Bank Mathematics Blueprint 2007 Grade 7 Florida Mathematics Blueprint Strand: Sense, Concepts and Operations (state assessment measures this strand with 9 items) 6 A.1.3.2 A.1.3.4 Understands the relative size of integers, fractions and decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. Understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals and absolute value. (Also assesses A.1.3.1 and A.1.3.3) A.2.3.1 Understands and uses exponential and scientific notation. A.3.3.1 A.3.3.2 Understands and explains the effects of addition, subtraction, multiplication and division on whole numbers, fractions, including mixed numbers and decimals, including the inverse relationship of positive and negative numbers. Selects the appropriate operation to solve problems involving addition, subtraction, multiplication and division of rational numbers, ratios, proportions and percents, including the appropriate application of the algebraic order of operations. A.3.3.3 Adds, subtracts, multiplies and divides whole numbers, decimals and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil and calculator. A.4.3.1 Uses estimation strategies to predict results and to check the reasonableness of results. (Also assesses A.4.2.1, B.2.3.1 and B.3.3.1) Strand: Measurement (state assessment measures this strand with 9 items) 56 B.1.3.1 B.1.3.2 B.1.3.3 B.1.3.4 B.2.3.2 Uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference and volume of two- and three-dimensional shapes, including rectangular solids and cylinders. (Also assesses B.1.2.2 and B.2.3.1) Uses concrete and graphic models to derive formulas for finding rates, distance, time and angle measures. (Also assesses B.1.2.2 and B.2.3.1) Understands and describes how the change of a figure in such dimensions as length, width, height or radius affects its other measurements such as perimeter, area, surface area or volume. (Also assesses C.2.3.1) Constructs, interprets and uses scale drawings such as those based on number lines and maps to solve real-world problems. Solves problems involving units of measure and converts answers to larger or smaller unit within either the metric or customary system. 10
Focus on Standards 2007 Grade 7 Florida Mathematics Blueprint continued Strand: Geometry and Spatial Sense (state assessment measures this strand with items) 4 C.1.3.1 C.2.3.1 C.3.3.1 C.3.3.2 Understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two and three dimensions. (Also assesses C.1.2.1) Understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism and transformations, including flips (reflections), slides (translations), turns (rotations) and enlargements. (Also assesses B.1.3.3, C.1.2.1, C.1.3.1 and C.3.3.1) Represents and applies geometric properties and relationships to solve real-world and mathematical problems. (Also assesses C.2.3.1, C.2.3.2 and C.3.2.2) Identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines. Strand: Algebraic Thinking (state assessment measures this strand with 9 items) 52 D.1.3.1 D.1.3.2 D.2.3.1 D.2.3.2 Describes a wide variety of patterns, relationships and functions through models, such as manipulatives, tables, graphs, expressions, equations and inequalities. (Also assesses A.5.3.1) Creates and interprets tables, graphs, equations and verbal descriptions to explain causeand-effect relationships. (Also assesses A.5.3.1) Represents and solves real-world problems graphically, with algebraic expressions, equations and inequalities. (Also assesses A.1.3.3) Uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities. Strand: Data Analysis and Probability (state assessment measures this strand with 9 items) 56 E.1.3.1 E.1.3.2 Collects, organizes and displays data in a variety of forms, including tables, line graphs, charts, bar graphs, to determine how different ways of presenting data can lead to different interpretations. (Also assesses E.1.3.3) Understands and applies the concepts of range and central tendency (mean, median and mode). (Also assesses E.1.3.3) E.2.3.1 Compares experimental results with mathematical expectations of probabilities. E.2.3.2 Determines odds for and odds against a given situation. (Also assesses E.2.2.2) E.3.3.1 Formulates hypotheses, designs experiments, collects and interprets data and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median and mode) and tables, graphs and charts. (Also assesses E.3.3.2) TOTAL NUMBER OF ITEMS 20 11
FL Item Bank Mathematics Blueprint 2007 Grade Florida Mathematics Blueprint Strand: Sense, Concepts and Operations (state assessment measures this strand with items) 0 A.1.3.2 A.1.3.4 Understands the relative size of integers, fractions and decimals; numbers expressed as percents; numbers with exponents; numbers in scientific notation; radicals; absolute value; and ratios. Understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific notation, exponents, radicals and absolute value. (Also assesses A.1.3.1 and A.1.3.3) A.2.3.1 Understands and uses exponential and scientific notation. A.3.3.1 A.3.3.2 A.3.3.3 Understands and explains the effects of addition, subtraction, multiplication and division on whole numbers, fractions, including mixed numbers and decimals, including the inverse relationship of positive and negative numbers. Selects the appropriate operation to solve problems involving addition, subtraction, multiplication and division of rational numbers, ratios, proportions and percents, including the appropriate application of the algebraic order of operations. Adds, subtracts, multiplies and divides whole numbers, decimals and fractions, including mixed numbers, to solve real-world problems, using appropriate methods of computing, such as mental mathematics, paper and pencil and calculator. 20 A.4.3.1 Uses estimation strategies to predict results and to check the reasonableness of results. (Also assesses A.4.2.1, B.2.3.1 and B.3.3.1) Strand: Measurement (state assessment measures this strand with items) 72 B.1.3.1 B.1.3.2 B.1.3.3 B.1.3.4 B.2.3.2 Uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference and volume of two- and three-dimensional shapes, including rectangular solids and cylinders. (Also assesses B.1.2.2 and B.2.3.1) Uses concrete and graphic models to derive formulas for finding rates, distance, time and angle measures. (Also assesses B.1.2.2 and B.2.3.1) Understands and describes how the change of a figure in such dimensions as length, width, height or radius affects its other measurements such as perimeter, area, surface area or volume. (Also assesses C.2.3.1) Constructs, interprets and uses scale drawings such as those based on number lines and maps to solve real-world problems. Solves problems involving units of measure and converts answers to larger or smaller unit within either the metric or customary system. 20
Focus on Standards 2007 Grade Florida Mathematics Blueprint continued Strand: Geometry and Spatial Sense (state assessment measures this strand with items) 6 C.1.3.1 C.2.3.1 Understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two and three dimensions. (Also assesses C.1.2.1) Understands the geometric concepts of symmetry, reflections, congruency, similarity, perpendicularity, parallelism and transformations, including flips (reflections), slides (translations), turns (rotations) and enlargements. (Also assesses B.1.3.3, C.1.2.1, C.1.3.1 and C.3.3.1) 24 C.3.3.1 C.3.3.2 Represents and applies geometric properties and relationships to solve real-world and mathematical problems. (Also assesses C.2.3.1, C.2.3.2 and C.3.2.2) Identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines. Strand: Algebraic Thinking (state assessment measures this strand with items) 64 D.1.3.1 Describes a wide variety of patterns, relationships and functions through models, such as manipulatives, tables, graphs, expressions, equations and inequalities. (Also assesses A.5.3.1) D.1.3.2 Creates and interprets tables, graphs, equations and verbal descriptions to explain causeand-effect relationships. (Also assesses A.5.3.1) D.2.3.1 Represents and solves real-world problems graphically, with algebraic expressions, equations and inequalities. (Also assesses A.1.3.3) D.2.3.2 Uses algebraic problem-solving strategies to solve real-world problems involving linear equations and inequalities. 20 Strand: Data Analysis and Probability (state assessment measures this strand with items) 6 E.1.3.1 E.1.3.2 Collects, organizes and displays data in a variety of forms, including tables, line graphs, charts, bar graphs, to determine how different ways of presenting data can lead to different interpretations. (Also assesses E.1.3.3) Understands and applies the concepts of range and central tendency (mean, median and mode). (Also assesses E.1.3.3) E.2.3.1 Compares experimental results with mathematical expectations of probabilities. E.2.3.2 Determines odds for and odds against a given situation. (Also assesses E.2.2.2) 24 E.3.3.1 Formulates hypotheses, designs experiments, collects and interprets data and evaluates hypotheses by making inferences and drawing conclusions based on statistics (range, mean, median and mode) and tables, graphs and charts. (Also assesses E.3.3.2) TOTAL NUMBER OF ITEMS 352 13
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